Ruan Yongbin

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Ruan Yongbin ( Chinese  阮勇斌 , Pinyin Ruǎn Yǒngbīn ; born February 14, 1963 ) is a Chinese mathematician who studies algebraic geometry, differential geometry and symplectic geometry with applications in string theory .

Ruan studied from 1978 at the Sichuan University with the diploma degree in 1985. 1985/86 he was teaching assistant at the University of Wisconsin . He received his PhD in 1991 under Robion Kirby (and Tomasz Mrowka ) at the University of California, Berkeley ( Gauge theory and its applications to Riemannian Geometry ). He was a post-graduate student at Michigan State University . In 1993 he became an Assistant Professor at the University of Utah , in 1995 Associate Professor and in 1999 Professor at the University of Wisconsin – Madison . Since 2006 he has been a professor at the University of Michigan .

Among other things, he was visiting professor at ETH Zurich , in Hong Kong and at MIT. In 1993 and 2004 he was at IHES , in 1993 at the Max Planck Institute for Mathematics , in 1994 at the Isaac Newton Institute and in 1994 at the MSRI .

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Quantum Cohomology and its Applications ). From 1995 to 1997 he was a Sloan Research Fellow . He is a fellow of the American Mathematical Society .

Fonts

  • with A. Adem, J. Leida Orbifolds and stringy topology , Cambridge Tracts in Mathematics 171, Cambridge University Press 2007
  • The cohomology ring of crepant resolutions of orbifolds , in Gromov-Witten theory of spin curves and orbifolds , Contemporary Mathematics, Volume 403, 2006
  • with W. Chen: A new cohomology theory of orbifold. Comm. Math. Phys. 248 (2004), no. 1, 1-31.
  • with W. Chen: Orbifold Gromov-Witten theory. Orbifolds in mathematics and physics (Madison, WI, 2001), 25-85, Contemp. Math., 310, Amer. Math. Soc., Providence, RI, 2002
  • with A. Li: Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds. Invent. Math. 145 (2001), no. 1, 151-218.
  • with G. Tian : Higher genus symplectic invariants and sigma models coupled with gravity , Inventiones Mathematicae, Volume 130, 1997, pp. 455-516.
  • Topological sigma model and Donaldson type invariants in Gromov theory , Duke Math. J., Volume 83, 1996, pp. 63-98
  • with G. Tian: A mathematical theory of quantum cohomology , J. Differential Geometry, Volume 42, 1995, pp. 259-367
  • Stringy geometry and topology of orbifolds , Contemporary Mathematics, Volume 312, Preprint

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project